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131033994 = 237131719743
BaseRepresentation
bin1111100111101…
…10101110001010
3100010120012211220
413303312232022
5232021041434
621000302510
73150525210
oct763665612
9303505756
10131033994
1167a68863
1237a71a36
13211bb310
141358ccb0
15b784d49
hex7cf6b8a

131033994 has 128 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 30772224.

The previous prime is 131033971. The next prime is 131033999. The reversal of 131033994 is 499330131.

It is not an unprimeable number, because it can be changed into a prime (131033999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175987 + ... + 176729.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2131033994 is an apocalyptic number.

131033994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131033994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

131033994 is an abundant number, since it is smaller than the sum of its proper divisors (228942966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131033994 is a wasteful number, since it uses less digits than its factorization.

131033994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 131033994 is about 11447.0080807170. The cubic root of 131033994 is about 507.9192345819.

The spelling of 131033994 in words is "one hundred thirty-one million, thirty-three thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 17 19 21 26 34 38 39 42 51 57 78 91 102 114 119 133 182 221 238 247 266 273 323 357 399 442 494 546 646 663 714 741 743 798 969 1326 1482 1486 1547 1729 1938 2229 2261 3094 3458 4199 4458 4522 4641 5187 5201 6783 8398 9282 9659 10374 10402 12597 12631 13566 14117 15603 19318 25194 25262 28234 28977 29393 31206 37893 42351 57954 58786 67613 75786 84702 88179 88417 98819 135226 164203 176358 176834 183521 197638 202839 239989 265251 296457 328406 367042 405678 479978 492609 530502 550563 592914 719967 985218 1101126 1149421 1284647 1439934 1679923 2298842 2569294 3119857 3359846 3448263 3853941 5039769 6239714 6896526 7707882 9359571 10079538 18719142 21838999 43677998 65516997 131033994